Laser cavity with a Van der Pol dynamics

2021 ◽  
Vol 67 (1 Jan-Feb) ◽  
pp. 154
Author(s):  
M. Lozano ◽  
A. Kir’yanov ◽  
A. Pisarchik ◽  
V. Aboites
Keyword(s):  
Phase Diagrams ◽  
Optical Thickness ◽  
Laser Cavity ◽  
Matrix Approach ◽  
Matrix Elements ◽  
Van Der Pol ◽  
Computer Calculations ◽  
Dynamic Map ◽  
The Rich ◽  
Generating Matrix

In this article, a beam within a ring phase conjugated laser is described by means of a Van der Pol bidimensional dynamic map using an ABCD matrix approach. Explicit expressions for the intracavity chaos-generating matrix elements were obtained; furthermore, computer calculations for different values of Van der Pol map’s parameters were made. The rich dynamic behavior displays periodicity when the parameter ¹ (which determines the non-inearity term) takes values around zero. These results were observed in phase diagrams and in diagrams of the optical thickness of the intracavity element.

scholarly journals Bogdanov Map for Modelling a Phase-Conjugated Ring Resonator

Entropy ◽  
2019 ◽  
Vol 21 (4) ◽  
pp. 384
Author(s):  
Vicente Aboites ◽  
David Liceaga ◽  
Rider Jaimes-Reátegui ◽  
Juan Hugo García-López
Keyword(s):  
Phase Space ◽  
Dynamic Behavior ◽  
Periodic Orbits ◽  
Ring Resonator ◽  
Matrix Elements ◽  
Bifurcation Diagrams ◽  
Direct Dependence ◽  
Computer Calculations ◽  
Generating Matrix ◽  
Explicit Expressions

In this paper, we propose using paraxial matrix optics to describe a ring-phase conjugated resonator that includes an intracavity chaos-generating element; this allows the system to behave in phase space as a Bogdanov Map. Explicit expressions for the intracavity chaos-generating matrix elements were obtained. Furthermore, computer calculations for several parameter configurations were made; rich dynamic behavior among periodic orbits high periodicity and chaos were observed through bifurcation diagrams. These results confirm the direct dependence between the parameters present in the intracavity chaos-generating element.

scholarly journals Hybrid modeling approach for mode-locked laser diodes with cavity dispersion and nonlinearity

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Stijn Cuyvers ◽  
Stijn Poelman ◽  
Kasper Van Gasse ◽  
Bart Kuyken
Keyword(s):  
Traveling Wave ◽  
Fourier Method ◽  
Laser Cavity ◽  
Mode Locking ◽  
Hybrid Modeling ◽  
Modeling Approach ◽  
Wide Range ◽  
Mode Locked Laser ◽  
The Rich ◽  
Modeling Strategy

AbstractSemiconductor-based mode-locked lasers, integrated sources enabling the generation of coherent ultra-short optical pulses, are important for a wide range of applications, including datacom, optical ranging and spectroscopy. As their performance remains largely unpredictable due to the lack of commercial design tools and the poorly understood mode-locking dynamics, significant research has focused on their modeling. In recent years, traveling-wave models have been favored because they can efficiently incorporate the rich semiconductor physics of the laser. However, thus far such models struggle to include nonlinear and dispersive effects of an extended passive laser cavity, which can play an important role for the temporal and spectral pulse evolution and stability. To overcome these challenges, we developed a hybrid modeling strategy by unifying the traveling-wave modeling technique for the semiconductor laser sections with a split-step Fourier method for the extended passive laser cavity. This paper presents the hybrid modeling concept and exemplifies for the first time the significance of the third order nonlinearity and dispersion of the extended cavity for a 2.6 GHz III–V-on-Silicon mode-locked laser. This modeling approach allows to include a wide range of physical phenomena with low computational complexity, enabling the exploration of novel operating regimes such as chip-scale soliton mode-locking.

scholarly journals SYNCHRONIZATION PHENOMENA IN VAN DER POL OSCILLATORS COUPLED BY A TIME-VARYING RESISTOR

2007 ◽  
Vol 17 (10) ◽  
pp. 3565-3569 ◽  
Author(s):  
YOKO UWATE ◽  
YOSHIFUMI NISHIO
Keyword(s):  
Switching Frequency ◽  
Time Varying ◽  
Van Der Pol ◽  
Van Der Pol Oscillators ◽  
Computer Calculations

In this study, synchronization phenomena observed in van der Pol oscillators coupled by a time-varying resistor are investigated. We realize the time-varying resistor by switching a positive and a negative resistor periodically. By carrying out circuit experiments and computer calculations, interesting synchronization phenomena can be confirmed to be generated in this system. Namely, the synchronization states change according to the switching frequency of the time-varying resistor.

Computer calculations of multicomponent phase diagrams

1970 ◽  
Vol 4 (9) ◽  
pp. 685-691 ◽  
Author(s):  
Henri Gaye ◽  
C.H.P Lupis
Keyword(s):  
Phase Diagrams ◽  
Computer Calculations
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